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Finding the Fourth Proportional to 6,107.99, 9,161.78 and 1,948.23

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Solution

The fourth proportional to 6,107.99, 9,161.78 and 1,948.23 is: 2,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.99 : 9,161.78 = 1,948.23 : x
  2. Step 2: Convert to fraction form
    6,107.99/9,161.78 = 1,948.23/x
  3. Step 3: Cross multiply
    6,107.99x = 9,161.78 × 1,948.23
  4. Step 4: Simplify right side
    6,107.99x = 17,849,254.65
  5. Step 5: Solve for x
    x = 17,849,254.65/6,107.99
  6. Step 6: Final answer
    x = 2,922.28

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.